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author:

Wang, Ying-Ming (Wang, Ying-Ming.) [1] (Scholars:王应明) | Elhag, Taha M. S. (Elhag, Taha M. S..) [2] | Hua, Zhongsheng (Hua, Zhongsheng.) [3]

Indexed by:

EI Scopus SCIE

Abstract:

This paper revisits the fuzzy logarithmic least squares method (LLSM) in the analytic hierarchy process and points out its incorrectness in the normalization of local fuzzy weights, infeasibility in deriving the local fuzzy weights of a fuzzy comparison matrix when the lower bound value of a non-normalized fuzzy weight turns out to be greater than its upper bound value, uncertainty of local fuzzy weights for incomplete fuzzy comparison matrices, and unreality of global fuzzy weights. A modified fuzzy LLSM, which is formulated as a constrained nonlinear optimization model, is therefore suggested to tackle all these problems. A numerical example is examined to show the applicability of the modified fuzzy LLSM and its advantages. (c) 2006 Elsevier B.V. All rights reserved.

Keyword:

fuzzy analytic hierarchy process fuzzy comparison matrix fuzzy weights normalization

Community:

  • [ 1 ] Fuzhou Univ, Sch Publ Adm, Fujian 350002, Peoples R China
  • [ 2 ] Univ Manchester, Sch Mech Aerosp & Civil Engn, Manchester M60 1QD, Lancs, England
  • [ 3 ] Univ Sci & Technol China, Sch Management, Hefei 230026, Peoples R China

Reprint 's Address:

  • 王应明

    [Wang, Ying-Ming]Fuzhou Univ, Sch Publ Adm, Fujian 350002, Peoples R China

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Source :

FUZZY SETS AND SYSTEMS

ISSN: 0165-0114

Year: 2006

Issue: 23

Volume: 157

Page: 3055-3071

1 . 1 8 1

JCR@2006

3 . 2 0 0

JCR@2023

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 158

SCOPUS Cited Count: 201

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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